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Finding the Third Proportional to 67,790 and 140,296

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Solution

The third proportional to 67,790 and 140,296 is: 290,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,790 : 140,296 = 140,296 : x
  2. Step 2: Convert to fraction form
    67,790/140,296 = 140,296/x
  3. Step 3: Cross multiply
    67,790x = 140,296 × 140,296
  4. Step 4: Simplify right side
    67,790x = 19,682,967,616
  5. Step 5: Solve for x
    x = 19,682,967,616/67,790
  6. Step 6: Final answer
    x = 290,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.